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Volumn 26, Issue 12, 1996, Pages 1965-1984

On the critical dimension of a semilinear degenerate elliptic equation involving critical Sobolev-Hardy exponent

Author keywords

Critical dimension; Critical exponent; Sobolev Hardy inequality; The method of moving planes

Indexed keywords

BOUNDARY VALUE PROBLEMS; CONVERGENCE OF NUMERICAL METHODS; EIGENVALUES AND EIGENFUNCTIONS; MATHEMATICAL OPERATORS; MAXIMUM PRINCIPLE; PERTURBATION TECHNIQUES; SET THEORY; THEOREM PROVING;

EID: 0030174712     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/0362-546X(95)00048-Z     Document Type: Article
Times cited : (17)

References (7)
  • 1
    • 84990613834 scopus 로고
    • Positive solutions of nonlinear elliptic equations involving critical Sobolev exponents
    • BREZIS H. & NIRENBERG L., Positive solutions of nonlinear elliptic equations involving critical Sobolev exponents, Communs pure appl. Math. 36, 437-477 (1983).
    • (1983) Communs Pure Appl. Math. , vol.36 , pp. 437-477
    • Brezis, H.1    Nirenberg, L.2
  • 2
    • 0000454829 scopus 로고
    • Critical exponents, critical dimensions and the biharmonic operator
    • EDMUNDS D. E., FORTUNATO D. & JANNELLI E., Critical exponents, critical dimensions and the biharmonic operator, Archs ration. Mech. Analysis 112, 269-289 (1990).
    • (1990) Archs Ration. Mech. Analysis , vol.112 , pp. 269-289
    • Edmunds, D.E.1    Fortunato, D.2    Jannelli, E.3
  • 3
    • 0002490825 scopus 로고
    • Critical expopnents and critical dimensions for polyharmonic operators
    • PUCCI P. & SERRIN J., Critical expopnents and critical dimensions for polyharmonic operators, J. Math. pures appl. 69, 55-83 (1990).
    • (1990) J. Math. Pures Appl. , vol.69 , pp. 55-83
    • Pucci, P.1    Serrin, J.2
  • 4
    • 0000927436 scopus 로고
    • First order interpolation inequalities with weights
    • CAFFARELLI L. A., KOHN R. & NIRENBERG L., First order interpolation inequalities with weights, Comp. Math. 53, 259-275 (1984).
    • (1984) Comp. Math. , vol.53 , pp. 259-275
    • Caffarelli, L.A.1    Kohn, R.2    Nirenberg, L.3
  • 5
    • 84972545633 scopus 로고
    • A weighted semilinear elliptic equation involving critical Sobolev exponents
    • NICOLAESCU L. I., A weighted semilinear elliptic equation involving critical Sobolev exponents, Diff. integral Eqns 4, 653-671 (1991).
    • (1991) Diff. Integral Eqns , vol.4 , pp. 653-671
    • Nicolaescu, L.I.1
  • 6
    • 84963034945 scopus 로고
    • On the best constant for a weight Sobolev-Hardy inequality
    • CHOU K. S. & CHU C. W., On the best constant for a weight Sobolev-Hardy inequality, J. London math. Soc. 48, 137-151 (1993).
    • (1993) J. London Math. Soc. , vol.48 , pp. 137-151
    • Chou, K.S.1    Chu, C.W.2
  • 7
    • 34250271532 scopus 로고
    • Symmetry and related properties via the maximum principle
    • GIDAS B., NI W.-M. & NIRENBERG L., Symmetry and related properties via the maximum principle, Communs math. Phys. 68, 209-243 (1979).
    • (1979) Communs Math. Phys. , vol.68 , pp. 209-243
    • Gidas, B.1    Ni, W.-M.2    Nirenberg, L.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.